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13203311121 = 3472111343541
BaseRepresentation
bin11000100101111101…
…01000101000010001
31021002011100200220000
430102332220220101
5204020021423441
610022052440213
7645122202300
oct142276505021
937064320800
1013203311121
115665a1a080
122685919069
131325548140
148d3770437
155242122b6
hex312fa8a11

13203311121 has 240 divisors, whose sum is σ = 27632582208. Its totient is φ = 6172588800.

The previous prime is 13203311119. The next prime is 13203311123. The reversal of 13203311121 is 12111330231.

13203311121 is a `hidden beast` number, since 1 + 320 + 331 + 1 + 12 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13203311119) and next prime (13203311123).

It is not a de Polignac number, because 13203311121 - 21 = 13203311119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13203311094 and 13203311103.

It is not an unprimeable number, because it can be changed into a prime (13203311123) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24405111 + ... + 24405651.

Almost surely, 213203311121 is an apocalyptic number.

13203311121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13203311121 is an abundant number, since it is smaller than the sum of its proper divisors (14429271087).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13203311121 is a wasteful number, since it uses less digits than its factorization.

13203311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13203311121 its reverse (12111330231), we get a palindrome (25314641352).

The spelling of 13203311121 in words is "thirteen billion, two hundred three million, three hundred eleven thousand, one hundred twenty-one".